Solve y=2cos(9/2)(20^circ-x)

$$y=2 \cos ( \frac{ 9 }{ 2 } ) (20 ^ { \circ } -x)$$

Solve for x

$$x=-\frac{62500000000000y}{124614666716641}+20$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$y = 2 \cdot 0.996917333733128 {(20 - x)}$$

Multiply 2 and 0.996917333733128 to get 1.993834667466256.

$$y=1.993834667466256\left(20-x\right)$$

Use the distributive property to multiply 1.993834667466256 by 20-x.

$$y=39.87669334932512-1.993834667466256x$$

Swap sides so that all variable terms are on the left hand side.

$$39.87669334932512-1.993834667466256x=y$$

Subtract 39.87669334932512 from both sides.

$$-1.993834667466256x=y-39.87669334932512$$

Divide both sides of the equation by -1.993834667466256, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-1.993834667466256x}{-1.993834667466256}=\frac{y-39.87669334932512}{-1.993834667466256}$$

Dividing by -1.993834667466256 undoes the multiplication by -1.993834667466256.

$$x=\frac{y-39.87669334932512}{-1.993834667466256}$$

Divide y-39.87669334932512 by -1.993834667466256 by multiplying y-39.87669334932512 by the reciprocal of -1.993834667466256.

$$x=-\frac{62500000000000y}{124614666716641}+20$$

Solve for y

$$y=-\frac{124614666716641x}{62500000000000}+39.87669334932512$$

Solution Steps

Evaluate trigonometric functions in the problem

$$y = 2 \cdot 0.996917333733128 {(20 - x)}$$

Multiply 2 and 0.996917333733128 to get 1.993834667466256.

$$y=1.993834667466256\left(20-x\right)$$

Use the distributive property to multiply 1.993834667466256 by 20-x.

$$y=39.87669334932512-1.993834667466256x$$